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Finding the Third Proportional to 233,658 and 366,060

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Solution

The third proportional to 233,658 and 366,060 is: 573,487.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,658 : 366,060 = 366,060 : x
  2. Step 2: Convert to fraction form
    233,658/366,060 = 366,060/x
  3. Step 3: Cross multiply
    233,658x = 366,060 × 366,060
  4. Step 4: Simplify right side
    233,658x = 133,999,923,600
  5. Step 5: Solve for x
    x = 133,999,923,600/233,658
  6. Step 6: Final answer
    x = 573,487.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.